A statement about elliptic curves.

In its general form, equivalent to the abc conjecture.

If Mochizuki's corollary 3.12 is true, then Szpiro’s conjecture is also true.

- Wikipedia,
*Szpiro’s conjecture*

The relation to the abc conjecture is discussed in

- Matt Baker (notes taken by William Stein),
*Elliptic curves, the ABC conjecture, and points of small canonical height*(pdf)

The relation to Mochizuki's corollary 3.12 is discussed in

- Taylor Dupuy, Anton Hilado,
*Probabilistic Szpiro, Baby Szpiro, and Explicit Szpiro from Mochizuki’s Corollary 3.12*[arxiv:2004.13108]

Last revised on August 1, 2023 at 21:09:53. See the history of this page for a list of all contributions to it.